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Finding the Third Proportional to 856.13 and 1,223.44

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Solution

The third proportional to 856.13 and 1,223.44 is: 1,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.13 : 1,223.44 = 1,223.44 : x
  2. Step 2: Convert to fraction form
    856.13/1,223.44 = 1,223.44/x
  3. Step 3: Cross multiply
    856.13x = 1,223.44 × 1,223.44
  4. Step 4: Simplify right side
    856.13x = 1,496,799.32
  5. Step 5: Solve for x
    x = 1,496,799.32/856.13
  6. Step 6: Final answer
    x = 1,748.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.